English

Selected results on Lie supergroups and their radial operators

Mathematical Physics 2010-12-24 v1 math.MP

Abstract

Foundational material on complex Lie supergroups and their radial operators is presented. In particular, Berezin's recursion formula for describing the radial parts of fundamental operators in general linear and ortho-symplectic cases is proved. Local versions of results which are suitable for applications for computing characters which are only defined on proper subdomains or covering spaces thereof are established.

Keywords

Cite

@article{arxiv.1012.5233,
  title  = {Selected results on Lie supergroups and their radial operators},
  author = {Alan Huckleberry and Matthias Kalus},
  journal= {arXiv preprint arXiv:1012.5233},
  year   = {2010}
}

Comments

29 pages

R2 v1 2026-06-21T17:03:39.028Z